If third differences are constant, prove that 2 f' f(x) dx = 3 [ƒ(0) + ƒ (1/√2) + ƒ (− 1/√2 )]

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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If third differences
are constant, prove that
2
['¹ f(x) dx = ² [ƒ(0) + ƒ (1/√₂ ) + ƒ (− 1/√2 )]
3
Transcribed Image Text:If third differences are constant, prove that 2 ['¹ f(x) dx = ² [ƒ(0) + ƒ (1/√₂ ) + ƒ (− 1/√2 )] 3
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